Properties of the Number -2400

Four Hundred

Basics

Value: -2401 → -2400 → -2399

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100101100000

Octal: -4540

Duodecimal: -1480

Hexadecimal: -960

Square: 5760000

Square Root: 48.98979485566356

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x). A21009

Triangle formed by coefficients of numerator polynomials defined by iterating f(u,v) = 1/u - x·v applied to a list of elements {1,2,3,4,...}. A53495

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = ∑_{d∣n, d==1 (mod 4)} d^k - ∑_{d∣n, d==3 (mod 4)} d^k. A322143

Triangle read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n). A123967

Expansion of (theta₂(q)/theta₃(q))⁴/16 in powers of q. A5798

Triangle of coefficients of Laguerre polynomials L_n(x) (powers of·in decreasing order). A21010

Jordan function J_-4 multiplied by n⁴. A189922

a(n) = ∑_{d∣n, d==1 mod 4} d⁴ - ∑_{d∣n, d==3 mod 4} d⁴. A50456

a(n) = (2·n)! * [x^2·n] (-x/(1 - x))ⁿ/((1 - x)*n!). A295383

a(n) = 1 - n⁴. A24002